3312201123000 has 576 divisors, whose sum is σ = 14063474093760. Its totient is φ = 688248000000.

The previous prime is 3312201122987. The next prime is 3312201123013. The reversal of 3312201123000 is 3211022133.

3312201123000 is a `hidden beast` number, since 3 + 31 + 220 + 112 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3312201122987) and next prime (3312201123013).

It is a super-2 number, since 2×3312201123000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7405750 + ... + 7840250.

It is an arithmetic number, because the mean of its divisors is an integer number (24415753635).

Almost surely, 2^{3312201123000} is an apocalyptic number.

3312201123000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312201123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031737046880).

3312201123000 is an abundant number, since it is smaller than the sum of its proper divisors (10751272970760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3312201123000 is a wasteful number, since it uses less digits than its factorization.

3312201123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434557 (or 434529 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3312201123000 its reverse (3211022133), we get a palindrome (3315412145133).

The spelling of 3312201123000 in words is "three trillion, three hundred twelve billion, two hundred one million, one hundred twenty-three thousand".